On the Equivalence of von Neumann and Thermodynamic Entropy
Bibliographic Data
| ID | 10706337 |
|---|---|
| Authors | Carina E A Prunkl (corresponding author) |
| Year | 2020 |
| Volume | 87 |
| Issue | 2 |
| Pages | 262-280 |
| Publication date | 2020-04-01 |
| Open Access | Yes |
| Type | ARTICLE |
| Venue | Philosophy of Science (JOURNAL) |
| Journal identifiers | ISSN: 0031-8248 • E-ISSN: 1539-767X |
| Publisher | Cambridge University Press (CUP) (PUBLISHER) |
| DOI | 10.1086/707565 |
| OpenAlex | W2992732403 |
| Language | EN |
| Citations received | 1 |
| References cited | 11 |
In 1932, John von Neumann argued for the equivalence of the thermodynamic entropy and −Tr ρ ln ρ , since known as the von Neumann entropy. Meir Hemmo and Orly R. Shenker recently challenged this argument by pointing out an alleged discrepancy between the two entropies in the single-particle case, concluding that they must be distinct. In this article, their argument is shown to be problematic as it ( a ) allows for a violation of the second law of thermodynamics and ( b ) is based on an incorrect calculation of the von Neumann entropy
Argument (complex analysis) · Entropy (arrow of time) · Equivalence (formal languages) · Second law of thermodynamics · Von Neumann architecture · Von Neumann entropy · Advanced Thermodynamics and Statistical Mechanics · Complex Systems and Dynamics · Quantum Mechanics and Applications
| Citations per year | 0.2 |
|---|---|
| Citation span | 2021 - 2021 (1) |
| Highly cited | No |